Thanks a lot for your in-depth reply, I really appreciate it and I'm glad you enjoyed it! I've been thinking about how to give the player more control over the next events myself as well and remove a bit of randomness from it. Having multiple choices would definitely help in that regard, although it also might make it easier to dodge any negative encounters. What do you think? Would that make it too easy? I'd love to hear your thoughts.
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Perhaps you can try giving the player partial info about the events instead of telling them outright. You could base this on alien races. The event icons could show the race but not the what the event is. There could be a run metagame of picking choices of the same race. Maybe you could build rapport with a particular race and get items that boost favourable outcomes from that race's events.